Answer:
RS = 19
Step-by-step explanation:
Given a segment joining the midpoints of 2 sides of a triangle then it is half the length of the third side, that is
- 5x + 44 = [tex]\frac{1}{2}[/tex] (18 + 4x) ( multiply both sides by 2 to clear the fraction )
- 10x + 88 = 18 + 4x ( add 10x to both sides )
88 = 18 + 14x ( subtract 18 from both sides )
70 = 14x ( divide both sides by 14 )
5 = x
Then
RS = - 5x + 44 = - 5(5) + 44 = - 25 + 44 = 19
